321/120 as a Decimal and Mixed Number

321/120 as a decimal and mixed number expansion provides the detailed information about what is 321/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

321/120 as a Decimal
321/120 = 2.675
Hence,
321/120 as a decimal equals to 2.675
where,
321/120 is a given fraction,
The decimal expansion of 321/120 is 2.675

321/120 as a Mixed Number
321/120 = (240 + 81)/120
= 240/120 + 81/120
= 2 + 81/120
= 2 81/120
321/120 = 2 81/120

Hence,
321/120 as a mixed number is 2 ⁸¹/₁₂₀
where,
321/120 is a given fraction,
2 ⁸¹/₁₂₀ is the mixed number representation of 321/120.

The below work with steps provide the detailed information about how to convert fraction 321/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 321/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 321/120.

step 2 The numerator is greater than the denominator of the fraction 321/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 321/120
= 240 + 81/120
= (2 x 120) + 81/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 81/120

step 4 Simplify the above expression:
= 2 x 120/120 + 81/120
= 2 + 81/120
= 2 + 27 x 3/40 x 3
= 2 + 27/40
2 + 27/40 can be written as a mixed number 2 ²⁷/₄₀.


step 5 Find the decimal equivalent for the fractional part 27/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (27/40 x 25/25)
= 2 + 675/1000

step 6 Simplify the above expression further:
= 2 + 0.675
= 2.675
321/120 = 2.675

Hence,
321/120 as a decimal is 2.675
321/120 as a mixed number is 2 ²⁷/₄₀